4.39   ODE No. 1039

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.011501 (sec), leaf count = 47 $$\left\{\{y(x)\to \sqrt{\frac{\pi }{2}}{c}_1{e}^{-\frac{x^2}{2}}\text{erfi}\left(\frac{x}{\sqrt{2}}\right)+c_2{e}^{-\frac{x^2}{2}}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 33 $$\{y\left(x\right)=\mathit{E}\mathit{r}\mathit{f}\left(\frac{i}{2}\sqrt{2}x\right)\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\frac{x^2}{2}}\right)}^{-1}+\mathit{\_}\mathit{C}\mathit{2}{\left({\mathrm{e}}^{\frac{x^2}{2}}\right)}^{-1}\}$$